We compare the gauge-fixing approach proposed by Jona-Lasinio and Parrinell
o and by Zwanziger (JLPZ) with the standard Faddeev-Popov (FP) procedure, a
nd demonstrate perturbative equality of gauge-invariant quantities, up to i
rrelevant terms induced by the cutoff. We also show how a set of local, ren
ormalizable Feynman rules can be constructed for the JLPZ procedure. Theref
ore the physical observables of the JLPZ and FP versions are equal to all o
rders up to a finite renormalization of the coupling constant.